Concept to Practice · Whole Steps, Half Steps & Tetrachords

Scales: Build a Note Collection

When you listen to a piece in a clear key, the seven notes of its diatonic scale do not feel equal. Some degrees feel like resting points, while others feel poised to tip forward or downward. That sense of gravity comes from how whole steps (W) and half steps (H) are arranged across the octave.

One of the clearest ways to build any major scale without memorising key signature charts is to divide the eight notes into two symmetric four-note groups called tetrachords. Each major tetrachord follows the pattern Whole – Whole – Half, and the two tetrachords are joined in the middle by a whole step.

Flat vector labelled keyboard diagram in lilac and plum showing the lower tetrachord C D E F and upper tetrachord G A B C linked into G major

Figure 1.1: The upper tetrachord of C Major (G–A–B–C) becomes the lower tetrachord of G Major, explaining why keys a fifth apart differ by only one sharp.

Scale Degree Functions · Why the Names Matter

Symmetric Positions Around the Tonic

Students are often puzzled by why degree 3 is called the Mediant and degree 6 the Submediant, or why degree 4 is the Subdominant. If you picture the Tonic (degree 1) in the center rather than only at the bottom, the symmetry becomes immediately visible:

Scale Degree Names and Their Melodic Tendencies
Degree Traditional Name Position Relative to Tonic Melodic Behaviour in Practice
1̂ Tonic Central home pitch Point of ultimate rest and harmonic departure.
2̂ Supertonic One step above Tonic Mobile bridge note; steps down to 1̂ or pauses on Half Cadences.
3̂ Mediant Halfway between Tonic and Dominant going up Determines whether the collection sounds major or minor.
4̂ Subdominant One fifth below Tonic (mirror of Dominant) In major keys, leans downward by half step into 3̂.
5̂ Dominant One fifth above Tonic Harmonic pillar; stabilises the upper half of the scale.
6̂ Submediant Halfway between Tonic and Subdominant going down Root of the relative minor collection; steps down to 5̂.
7̂ Leading Tone / Subtonic Half step (or whole step) below Tonic When a half step below 1̂, pulls strongly upward to resolve.
Interactive Exercise · Natural, Harmonic, and Melodic Minor

Why Minor Keys Adjust Degrees 6̂ and 7̂

Unlike the major scale—which already has a natural half step between 7̂ and 1̂—the Natural Minor scale (Aeolian mode, codified alongside Ionian by Heinrich Glarean in Dodecachordon, 1547) has a whole step between its seventh degree and the tonic. In C minor, that seventh note is B♭.

Scale-Adjustment Task · Working in C Minor (C – D – E♭ – F – G – [6̂] – [7̂] – C)

Choose how you want to treat the sixth and seventh degrees as a melody climbs toward High C:

Next Stage: Place the Beat and the Rest (Rhythm) →